22463245622304 has 72 divisors (see below), whose sum is σ = 64001996381232. Its totient is φ = 7473431571840.

The previous prime is 22463245622287. The next prime is 22463245622309. The reversal of 22463245622304 is 40322654236422.

22463245622304 is a `hidden beast` number, since 2 + 2 + 4 + 63 + 2 + 4 + 562 + 23 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×22463245622304³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22463245622304.

It is not an unprimeable number, because it can be changed into a prime (22463245622309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74416662 + ... + 74717909.

It is an arithmetic number, because the mean of its divisors is an integer number (888916616406).

Almost surely, 2^{22463245622304} is an apocalyptic number.

22463245622304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22463245622304 is an abundant number, since it is smaller than the sum of its proper divisors (41538750758928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22463245622304 is a wasteful number, since it uses less digits than its factorization.

22463245622304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149135110 (or 149135099 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

Adding to 22463245622304 its reverse (40322654236422), we get a palindrome (62785899858726).

The spelling of 22463245622304 in words is "twenty-two trillion, four hundred sixty-three billion, two hundred forty-five million, six hundred twenty-two thousand, three hundred four".